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Finding the Third Proportional to 110,454 and 172,233

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Solution

The third proportional to 110,454 and 172,233 is: 268,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,454 : 172,233 = 172,233 : x
  2. Step 2: Convert to fraction form
    110,454/172,233 = 172,233/x
  3. Step 3: Cross multiply
    110,454x = 172,233 × 172,233
  4. Step 4: Simplify right side
    110,454x = 29,664,206,289
  5. Step 5: Solve for x
    x = 29,664,206,289/110,454
  6. Step 6: Final answer
    x = 268,566.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.